The hexagram, hexalpha, or Seal of Solomon as used in magic is
a "geometrical synthesis of the whole occult doctrine", according to
John Dee, the notorious Cabalist, black magician, sorcerer, and
court astrologist of Queen Elizabeth I (Monad Heiroglyphic). By
definition, occult religions entail a dual system comprised of
an exoteric doctrine, which is known to the many, and an
esoteric doctrine, which is known only to the few, the adepts. The
following mathematical implications of the hexagram are said
to be extoeric because they require no secret or occult cipher
or frame of reference to derive.

[02]
The hexagram is composed of six equalateral triangles, each of
which has three sides, which means 6 * 3 = 3 * 6 = 6 + 6 + 6.

[03]
The hexagram can be seen as consisting of 6 long lines, where
each line is broken into 3 parts by intersecting lines, so if
we view the parts of each of the 6 lines, we have 111 six times
or 6,6,6.

[04]
The image of a hexagram can be generated by joining three cubes
when viewed at an angle; since each cube has six sides and there
are 3 cubes, we have 6 + 6 + 6 again:

[05]
The hexagram consists of a total of 18 shorter lines, where the
demarcation for each line is the intersection of another line,

such that, if we take the total, 18, and use 6 as the break or
demarcation of the total, we have 18 broken into 3 sets of six,
or 666 on an abacus in base 10 notation, as follows:

= 6 = 6 = 6

[06]
There are six outward pointing points, 6 inward pointing points,
6 innermost lines, i.e., 6,6,6 once more, and the hexagram can
also be formed by joining three chevron symbols, each of which
has 6 sides, so 6,6,6...

"The great Symbol of Solomon. The Double Triangle of
Solomon, represented by the two Ancients of the Kabalah; the
Macroprosopus and the Microprosopus; the God of Light and
the God of Reflections; of mercy and vengeance; the white
Jehovah and the black Jehovah. -- Freemason,
magician, and Kabbalist, Eliphas Levi, "Trancendental Magic"
"The hexagram is widely
associated with the occult, and is considered the most powerful of
Satan's symbols, containing '666'. Occultists also call it the trud
and use it in necromantic ceremonies to summon evil spirits." ("The
Secrets of the Freemasons", p. 45, Michael Bradley)
"For by thy sorceries were all nations decieved." Rev. 18:23